The tangent line to the graph of f(x) at x = 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line.y-3 -2 -1A(x, y) =y = f(x)32(c) Find f'(1).1-1A1 2 3(a) Find the coordinates of the points P and A.P(x, y) =PX(b) Use the coordinates of P and A to find the slope of the tangent line.(d) Find the instantaneous rate of change of f(x) at P.(

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(a) Find the coordinates of the points P and A. P(x, y) = A(x, y) = (b) Use the coordinates of P and A to find the slope of the tangent line. (c) Find f'(1). (d) Find the instantaneous rate of change of f(x) at P.

(a) Find the coordinates of the points P and A. P(x, y) = A(x, y) = (b) Use the coordinates of P and A to find the slope of the tangent line. (c) Find f'(1). (d) Find the instantaneous rate of change of f(x) at P.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 25E

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Question

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The tangent line to the graph of f(x) at x = 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line.
y
-3 -2 -1
A(x, y) =
y = f(x)
3
2
(c) Find f'(1).
1
-1
A
1 2 3
(a) Find the coordinates of the points P and A.
P(x, y) =
P
X
(b) Use the coordinates of P and A to find the slope of the tangent line.
(d) Find the instantaneous rate of change of f(x) at P.
(

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